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Finding the Third Proportional to 210,478.50 and 465,253.88

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Solution

The third proportional to 210,478.50 and 465,253.88 is: 1,028,424.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,478.50 : 465,253.88 = 465,253.88 : x
  2. Step 2: Convert to fraction form
    210,478.50/465,253.88 = 465,253.88/x
  3. Step 3: Cross multiply
    210,478.50x = 465,253.88 × 465,253.88
  4. Step 4: Simplify right side
    210,478.50x = 216,461,168,202.52
  5. Step 5: Solve for x
    x = 216,461,168,202.52/210,478.50
  6. Step 6: Final answer
    x = 1,028,424.13

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.